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Finding the Fourth Proportional to 125.78, 187.55 and 117.74

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Solution

The fourth proportional to 125.78, 187.55 and 117.74 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 187.55 = 117.74 : x
  2. Step 2: Convert to fraction form
    125.78/187.55 = 117.74/x
  3. Step 3: Cross multiply
    125.78x = 187.55 × 117.74
  4. Step 4: Simplify right side
    125.78x = 22,082.46
  5. Step 5: Solve for x
    x = 22,082.46/125.78
  6. Step 6: Final answer
    x = 175.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.